What is the value of construction in learning geometry? and also why not use rulers instead of straight edges??
2007-09-03 11:14:15 · 4 answers · asked by superduper 1 in Science & Mathematics ➔ Mathematics
Structures are made up of geometrical shapes put together to make complex system. It important to know about and be able to analyze the simple shapes so ensure the structure is strong and can stand up and how it will react to various forces that it will be subject to...
A straight edge is a ruler - sometimes drafts people, engineers, and project managers/constructors use "scales" too - these are rules with different calibrations that allows them to see the exact right length of a drawing without having to "translate" it using the scale.
2007-09-03 11:25:16 · answer #1 · answered by Smarty-Marti 5 · 0⤊ 0⤋
learning by doing. for some it is helpful to learn the different relationships in geometry by discovering them by construction instead of just memorizing the rules from a text book and writing proofs. a ruler can be used as a straight edge.
2007-09-03 18:20:31 · answer #2 · answered by Merlyn 7 · 0⤊ 0⤋
There is an orderly progression of steps. Nothing is accepted just because the result looks correct.
Analyzing costructions strengthens understanding of theorems.
The restriction on equipment (only a tsraightedge and compass) and the strictly defined rules make producing constructions a challenging game, one enjoyed by most people who learn it. Users of drafting machines must analyze problems, and their analyses are often the same as those used for constructions.
2007-09-03 18:27:49 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
The value is that you see the principles at work.
The reason for the straight edge over the ruler
is that you are forced to work by comparison.
(Eg. trisecting a line with a ruler is trivial,
try it with only a straight edge and compass.
-It can be done)
2007-09-03 18:31:58 · answer #4 · answered by Irv S 7 · 0⤊ 0⤋